Myopic Models of Population Dynamics on Infinite Networks

Reaction-diffusion equations are treated on infinite networks using semigroup methods. To blend high fidelity local analysis with coarse remote modeling, initial data and solutions come from a uniformly closed algebra generated by functions which are flat at infinity. The algebra is associated with a compactification of the network which facilitates the description of spatial asymptotics. Diffusive effects disappear at infinity, greatly simplifying the remote dynamics. Accelerated diffusion models with conventional eigenfunctions expansions are constructed to provide opportunities for finite dimensional approximation.Comment: 36 pages. arXiv admin note: text overlap with arXiv:1109.313

Dirichlet to Neumann Maps for Infinite Quantum Graphs

The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic equations on a large collection of infinite quantum graphs. For a dense set of continuous functions on the graph boundary, the Dirichlet to Neumann map has values in the Radon measures on the graph boundary

THE COOPERATIVE RENAISSANCE: EMPOWERING PRODUCERS IN AN ERA OF GREATER RISK

Agribusiness, Risk and Uncertainty,

Flood Frequency Estimation in Northern Sparse Data Regions: Completion Report

The primary objective of this project was to complete development of an arctic hydrologic model and to evaluate its usefulness in generating information useful for a design tool in estimation of peak flow discharges. The peak flow discharges studied were those generally analyzed and evaluated in the design of facilities for stream crossings.The work upon which this report is based was supported by funds (Project B-021 ALAS) provided by the United States Department of the Interior, Office of Water Resources Research, as authorized by Water Resources Research Act of 1964, Public Law 88-379, as amended

A Northern Snowmelt Model

In early 1968, a large petroleum discovery was made in the Prudhoe Bay area of Alaska's Arctic Coastal Plain. This discovery has led Alaska into a period of development of unprecedented speed and magnitude. This development will require the construction of many engineering facilities which are affected by the water resources. The design of each of these requires an understanding of the hydrologic system, a system which is dominated in Alaska by low temperatures, high latitudes, large elevation differences and sparse data. The latter factor is unique to Alaska and makes application of common design techniques virtually impossible

A Catalog of Hydroclimatological Data for Alaska's Coastal Zone

In order to perceive a better understanding of the interrelationships of the coastal zone water we proposed a research project which was to sort out many of the complex variables. The project was not begun due to the lack of sufficient funds. We did, however, begin a limited literature search and listing of hydroclimatological data sources of Alaska's coastal zone. We felt this would be a modest but useful start towards the larger study. It should also have some practical usefulness to others. This data catalog is a result of this initial study. Because of the wide variety of types of agency which collect data and the literally hundreds of sources through which they are reported, it is often quite bewildering for even experienced investigators to sort out what can be found and where. Although we are sure that the catalog is far from complete, we feel that it is a useful beginning towards an attempt to better understand the hydroclimatological processes in Alaska's coastal zone. We wish to invite contributions and criticisms which could lead to an improved and more comprehensive version at some future date.We gratefully acknowledge the support of the Sea Grant Program of the University of Alaska and the support and encouragement of its Director, David Hickok. The project also received support from the Office of Water Resources Research and the State of Alaska through the Institute of Water Resources at the University of Alaska

Improvement of the Fairbanks Atmospheric Carbon Monoxide Transport Model -- A Program for Calibration, Verification and Implementation

Completion Report Prepared for the Research Section, Alaska Department of Transportation and Public FacilitiesIn the early 70s, state, local and federal officials in Fairbanks, Alaska, became concerned with the rising incidence of high carbon monoxide episodes. Because of that concern, the Alaska Department of Highways (forerunner of the Department of Transportation and Public Facilities) and the Fairbanks North Star Borough requested that the Institute of Water Resources undertake a study to develop a computer model capability for understanding the transport of carbon monoxide and other pollutants within the Fairbanks airshed. The work was completed in June of 1976. Two publications (Carlson and Fox, 1976; Norton and Carlson, 1976) describe the initial development, documentation and implementation of the computer model. The model, ACOSP (Atmospheric Carbon monOxide Simulation Program), describes the two-dimensional behavior of pollutants in the atmosphere via solution of the convection-diffusion equation using the finite element method of numerical analysis